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Finding the Third Proportional to 1,712.11 and 3,684.23

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Solution

The third proportional to 1,712.11 and 3,684.23 is: 7,927.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.11 : 3,684.23 = 3,684.23 : x
  2. Step 2: Convert to fraction form
    1,712.11/3,684.23 = 3,684.23/x
  3. Step 3: Cross multiply
    1,712.11x = 3,684.23 × 3,684.23
  4. Step 4: Simplify right side
    1,712.11x = 13,573,582.93
  5. Step 5: Solve for x
    x = 13,573,582.93/1,712.11
  6. Step 6: Final answer
    x = 7,927.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.